Decay versus survival of a localized state subjected to harmonic forcing: exact results

O. Costin, J. L. Lebowitz, A. Rokhlenko

We investigate the survival probability of a localized 1-d quantum particle subjected to a time dependent potential of the form $rU(x)\sin \omega t$ with $U(x)=2\delta (x-a)$ or $U(x)= 2δ(x-a…